Least Common Multiple of 60/17, 35/19, 463/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/17, 35/19, 463/282 quickly i.e. 194460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/17, 35/19, 463/282 is 194460.

LCM(60/17, 35/19, 463/282) = 194460

LCM of 60/17, 35/19, 463/282

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 60/17,35/19,463/282

Given numbers are 60/17,35/19,463/282

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 60,35,463

Least Common Multiple of Numerators i.e. LCM of 60,35,463 is 194460.

GCF of Denominators means GCF of 17,19,282 as per the given fractions.

GCF of 17,19,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,35,463

LCM of Fractions 60/17,35/19,463/282 is 194460

5 60, 35, 463
12, 7, 463

∴ So the LCM of the given numbers is 5 x 12 x 7 x 463 = 194460

Least Common Multiple of 60,35,463 with GCF Formula

Least Common Multiple of 60,35,463 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,35,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,35,463) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(60,35,463) x common factors =1 x 5 = 5

LCM(60,35,463) = ( 60 × 35 × 463 ) / 5

LCM(60,35,463) = 972300 / 5

LCM(60,35,463) = 194460


Lets's calculate GCF of 17,19,282

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194460/1

Therefore the LCM of Fractions 60/17,35/19,463/282 is 194460

Greatest Common Factor of 17,19,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,19,282 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 17,19,282 . The biggest common factor number is the GCF number.
So the greatest common factor 17,19,282 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 60/17, 35/19, 463/282

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 60/17, 35/19, 463/282?

Answer: LCM of Numerators as per given numbers 60/17, 35/19, 463/282 is

LCM of Numerators i.e. for 60,35,463 is 194460

GCF of denominators i.e. for 17,19,282 is 1.

Thus, LCM of Fractions is 194460.Finally, LCM of Fractions for 60/17, 35/19, 463/282 is 194460.